42213122131200 has 432 divisors, whose sum is σ = 139633760534016. Its totient is φ = 11230881177600.

The previous prime is 42213122131163. The next prime is 42213122131217. The reversal of 42213122131200 is 213122131224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32297720947 + ... + 32297722253.

Almost surely, 2^{42213122131200} is an apocalyptic number.

42213122131200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213122131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69816880267008).

42213122131200 is an abundant number, since it is smaller than the sum of its proper divisors (97420638402816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42213122131200 is a wasteful number, since it uses less digits than its factorization.

42213122131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42213122131200 its sum of digits (24), we get a palindrome (42213122131224).

Adding to 42213122131200 its reverse (213122131224), we get a palindrome (42426244262424).

The spelling of 42213122131200 in words is "forty-two trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred".